💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

Numerade Educator

Like

Report

Problem 60 Easy Difficulty

Use Property 8 to estimate the value of the integral.

$ \displaystyle \int^3_0 \frac{1}{x + 4} \,dx $

Answer

$\frac{3}{7} \leq \int_{0}^{3} \frac{1}{x+4} d x \leq \frac{3}{4}$

More Answers

Discussion

You must be signed in to discuss.

Video Transcript

because of the fact that one over X plus four is decreasing on the interval. We know that 1/7 is less than one over X plus four, which is less than or equal to one for. Therefore, we know 17 times three months here, which is 3/7 is less than equal to the integral from 0 to 3 one over X plus four DX, which is less than or equal to 14 times three minutes here, which just 1/4 times three, which is simply 3/4.